Desmos Calculator Mastery • Lesson 4 of 7
Sliders
Turn a letter into a dial you can drag, and watch the graph respond.
When you use a letter the calculator does not recognise — like a in y = a x^2 — it creates a slider for it. Drag the slider and the graph updates live, so you can see what a coefficient does: a larger a makes the parabola narrower; changing b in y = x + b slides the line up and down.
Sliders shine on “which value makes the graph pass through this point?” questions. Drag until the curve hits the point — or set the slider to each answer choice and watch.
- Type
y = a*x^2into a row.A slider for a appears beneath the expressions. - Drag the slider up and down.The parabola gets narrower as a grows, wider as it shrinks, and flips when a goes negative.
Try it liveDrag a slider
y = a*x^2is loaded and a slider for a appears below the expression.- Drag a and watch the parabola stretch, flatten and flip.
Formula Reference Sheet
This chapter
Fast moves
| Solve f(x)=0 | graph y=f(x); turn on key points |
|---|---|
| Solve an equation | graph both sides; read where they meet |
| Evaluate | use the Scientific tab |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
🖩 Graphing Calculator